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Finding the Fourth Proportional to 1,820.69, 2,731.04 and 522.26

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Solution

The fourth proportional to 1,820.69, 2,731.04 and 522.26 is: 783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.69 : 2,731.04 = 522.26 : x
  2. Step 2: Convert to fraction form
    1,820.69/2,731.04 = 522.26/x
  3. Step 3: Cross multiply
    1,820.69x = 2,731.04 × 522.26
  4. Step 4: Simplify right side
    1,820.69x = 1,426,312.95
  5. Step 5: Solve for x
    x = 1,426,312.95/1,820.69
  6. Step 6: Final answer
    x = 783.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.